Question
If rwo-thord of a number is 60 , what is one-xixth of that same number? 4. 78 A. बa C. 48 1. 30 E. 15 Thetre.F of two mumbers is 3 . Which of the followiag pairs represcents the foo numbers in the oprotas below? A. 12 and 17 B. 10 and 20 C 9 and 15 n 8 and 12 E 4 and 6 35: ef watlutor is less than one of the following by \( \mathrm{N} \$ 0.00 \). A. P 195.00 B. N205.00 C. anens.00 D. N230.00 E. स240.00 Chinge \( \$ 432.08 \) to kobo. A. 320 B. 328 C \( \quad 330 \) D. 3208 E 3,280 How many \( \$ 2.0 .00 \) added up to make N1.000.00? A. 10 B. 50 C. 100 D. 110 E \( \quad 1,000 \) 14. Change \( 7 \frac{1}{2} \), 6 to fraction in ita lerwest A. \( \frac{1}{2} \) B. \( \frac{1}{20} \) C. \( \frac{1}{20} \) D. \( \frac{3}{40} \) E. \( \frac{3}{40} \) 15. Conven 8 weeks 8 days to days. A. 64 B. 56 C. \( \quad 48 \) D. 39 E. \( \quad 28 \) 16. The marked price of an article is \( \$ 8,200.00 \). If a customer receives \( \$ 410.00 \) as a discount on the article. what percentage is the discount? A. 4 B. 5 C. 6 D. 8 E. 10 17. Subtract 8 cm 7 mm from 42 cm 5 cmm . A. 34 cm 8 mm B. 34 cm 13 mm C. \( \quad 33 \mathrm{~cm} 98 \mathrm{~mm} \) D. 33 cm 8 mm B. 32 cm 15 mm
Ask by Higgins Weaver. in Nigeria
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
**Simplified Answers:**
1. **Problem 1:** 15 (Option E)
2. **Problem 2:** None of the options sum to 3.
3. **Problem 3:** 43208 kobo (Not listed)
4. **Problem 4:** 500 (Not listed)
5. **Problem 5:** 15⁄2 (Not listed)
6. **Problem 6:** 64 days (Option A)
7. **Problem 7:** 5% (Option B)
8. **Problem 8:** 33 cm 8 mm (Option D)
Solution
Let's solve the problems step by step.
### Problem 1: If two-thirds of a number is 60, what is one-sixth of that same number?
1. Let the number be \( x \).
2. According to the problem, we have:
\[
\frac{2}{3}x = 60
\]
3. To find \( x \), we can multiply both sides by \( \frac{3}{2} \):
\[
x = 60 \times \frac{3}{2} = 90
\]
4. Now, we need to find one-sixth of \( x \):
\[
\frac{1}{6}x = \frac{1}{6} \times 90 = 15
\]
**Final Answer for Problem 1: 15 (Option E)**
---
### Problem 2: The sum of two numbers is 3. Which of the following pairs represents the two numbers?
1. Let the two numbers be \( a \) and \( b \).
2. We have:
\[
a + b = 3
\]
3. Now, we will check each option to see if the sum equals 3.
- **Option A: 12 and 17**
\[
12 + 17 = 29 \quad (\text{Not valid})
\]
- **Option B: 10 and 20**
\[
10 + 20 = 30 \quad (\text{Not valid})
\]
- **Option C: 9 and 15**
\[
9 + 15 = 24 \quad (\text{Not valid})
\]
- **Option D: 8 and 12**
\[
8 + 12 = 20 \quad (\text{Not valid})
\]
- **Option E: 4 and 6**
\[
4 + 6 = 10 \quad (\text{Not valid})
\]
None of the options provided sum to 3. Please check the options again.
---
### Problem 3: Change \( \$ 432.08 \) to kobo.
1. Since \( 1 \) dollar is equal to \( 100 \) kobo, we can convert:
\[
432.08 \times 100 = 43208 \text{ kobo}
\]
**Final Answer for Problem 3: 43208 (Not listed in options)**
---
### Problem 4: How many \( \$ 2.00 \) added up to make \( N1,000.00 \)?
1. Let \( n \) be the number of \( \$ 2.00 \):
\[
2n = 1000
\]
2. Solving for \( n \):
\[
n = \frac{1000}{2} = 500
\]
**Final Answer for Problem 4: 500 (Not listed in options)**
---
### Problem 5: Change \( 7 \frac{1}{2} \) to a fraction in its lowest terms.
1. Convert \( 7 \frac{1}{2} \) to an improper fraction:
\[
7 \frac{1}{2} = \frac{15}{2}
\]
**Final Answer for Problem 5: \( \frac{15}{2} \) (Not listed in options)**
---
### Problem 6: Convert 8 weeks 8 days to days.
1. There are \( 7 \) days in a week, so:
\[
8 \text{ weeks} = 8 \times 7 = 56 \text{ days}
\]
2. Adding the extra days:
\[
56 + 8 = 64 \text{ days}
\]
**Final Answer for Problem 6: 64 (Option A)**
---
### Problem 7: The marked price of an article is \( \$ 8,200.00 \). If a customer receives \( \$ 410.00 \) as a discount, what percentage is the discount?
1. The discount percentage can be calculated as:
\[
\text{Discount Percentage} = \left( \frac{410}{8200} \right) \times 100
\]
2. Calculating:
\[
\text{Discount Percentage} = \left( \frac{410}{8200} \right) \times 100 = 5
\]
**Final Answer for Problem 7: 5% (Option B)**
---
### Problem 8: Subtract \( 8 \text{ cm } 7 \text{ mm} \) from \( 42 \text{ cm } 5 \text{ mm} \).
1. Convert everything to mm:
- \( 42 \text{ cm } 5 \text{ mm} = 420 + 5 = 425 \text{ mm} \)
- \( 8 \text{ cm } 7 \text{ mm} = 80 + 7 = 87 \text{ mm} \)
2. Now subtract:
\[
425 - 87 = 338 \text{ mm}
\]
3. Convert back to cm and mm:
- \( 338 \text{ mm} = 33 \text{ cm } 8 \text{ mm} \)
**Final Answer for Problem 8: 33 cm 8 mm (Option D)**
---
If you have any further questions or need clarification on any of the problems, feel free to ask!
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
If two-thirds of a number equals 60, then to find the whole number, you would multiply 60 by \( \frac{3}{2} \) to get 90. Now, for one-sixth of that same number, you simply take \( \frac{90}{6} = 15 \). So the answer is E. 15! In the problem about two numbers where their third is equal to 3, you can express this as \( x/3 = 3 \) (which gives x = 9). Among the options, only pairs where both numbers have a third equal to 3 will work. The correct pairs are 9 and 15! We’ve got some number detective work going on here. Keep practicing, and you'll be a math wizard in no time!